Robust Control Theory in Hilbert Space: 130 - Rilegato

Feintuch, Avraham

Rilegato

ISBN 10: 0387982914 ISBN 13: 9780387982915

Casa editrice: Springer-Verlag New York Inc., 1997

Riassunto

This book presents an operator theoretic approach to robust control analysis for linear time-varying systems. It emphasizes the conceptual similarity with the H control theory for time-invariant systems and at the same time clarifies the major difficulties confronted in the time varying case. The necessary operator theory is developed from first principles and the book is as self-contained as possible. After presenting the necessary results from the theories of Toeplitz operators and nest algebras, linear systems are defined as input- output operators and the relationship between stabilization and the existance of co-prime factorizations is described. Uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems. Robustness is considered both from the point of view of fractional representations and the "time varying gap" metric, and the relationship between these types of uncertainties is clarified. The book closes with the solution of the orthogonal embedding problem for time varying contractive systems. This book will be useful to both mathematicians interested in the potential applications of operator theory in control and control engineers who wish to deal with some of the more mathematically sophisticated extension of their work.

Su questo libro

Contenuti

1 Basic Hilbert Space Theory.- 2 Operator Theoretic Preliminaries.- 3 A Distance Formula and Some Consequences.- 4 Factorization Theorems.- 5 Linear Systems.- 6 Stabilization.- 7 Uniform Optimal Control.- 8 Robustness of Time-Varying Systems.- 9 The Gap Metric and Internal Stability.- 10 Robust Stabilization in the Gap Metric.- 11 Orthogonal Embedding of Time-Varying Systems.

Product Description

Robust Control Theory In Hilbert Space, Volume 130 by Feintuch A., 9780387982915, Springer, 1998, Hardcover

Dettagli dell'edizione

• Editore: Springer-Verlag New York Inc.
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387982914
• ISBN 13: 9780387982915
• Rilegatura: Copertina rigida
• Numero di pagine: 243
• Contatto del produttore: non disponibile
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